32429266408900 has 81 divisors (see below), whose sum is σ = 72329543814087. Its totient is φ = 12620299867200.

The previous prime is 32429266408897. The next prime is 32429266408901. The reversal of 32429266408900 is 980466292423.

The square root of 32429266408900 is 5694670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3078529921476 + 29350736487424 = 1754574^2 + 5417632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32429266408901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2107020205 + ... + 2107035595.

Almost surely, 2^{32429266408900} is an apocalyptic number.

32429266408900 is the 5694670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32429266408900

32429266408900 is an abundant number, since it is smaller than the sum of its proper divisors (39900277405187).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32429266408900 is an frugal number, since it uses more digits than its factorization.

32429266408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 32429266408900 in words is "thirty-two trillion, four hundred twenty-nine billion, two hundred sixty-six million, four hundred eight thousand, nine hundred".